The equation of the curve is
.
Length of a curve with a polar equation
,
is
.
.
Period of the sine function:
.
Graph:
\Graph the curve
.

Graph of the curve is drawn for the interval
.
Limits of the integral are
to
.
.
Differentiate with respect to
on each side.

Substitute
,
and limits of
values in
.

Using calculator,
.
.
Arc length of the curve is
.
Arc length of the curve
is
.